Preprints

  1. Locally Trivial Deformations of Toric Varieties. With Sharon Robins. [arXiv:2409.02824]
  2. Rational Curves in Projective Toric Varieties. With Jake Levinson. [arXiv:2312.16590]
  3. Deformation Theory for Finite Cluster Complexes. With Alfredo Nájera Chávez and Hipolito Treffinger. [arXiv:2111.02566]

Refereed Publications

  1. Local Euler characteristics of A_n-singularities and their application to hyperbolicity. With Nils Bruin and Zhe Xu. (To appear in EPIGA) [arXiv:2312.01722]
  2. Toric Degenerations of Low Degree Hypersurfaces. With Oscar Lautsch. (Canad. Math. Bull. 66 (2023), no. 4, pp. 1231 - 1236) [arXiv:2208.11645]
  3. Tropical Tangents for Complete Intersection Curves. With Yoav Len. (Math. of Computation 92 (2023), no. 340, pp. 931 - 979) [arXiv:2104.15059]
  4. Khovanskii-finite rational curves of arithmetic genus two. With Ahmad Mokhtar. (Michigan Math. J. 73 (2023), no. 5, pp. 1059-1082) [arXiv:2101.09410]
  5. Fano Schemes of Complete Intersections in Toric Varieties. With Tyler L. Kelly. (Math. Z. 300 (2022), no. 2, 1529–1556.) [arXiv:1910.05593]
  6. Appendix to Wall Crossing for Newton-Okounkov bodies and the tropical Grassmannian. By Laura Escobar and Megumi Harada. (IMRN (2022), no. 7, pp. 5152 - 5203) [arXiv:1912.04809]
  7. Khovanskii-Finite Valuations, Rational Curves, and Torus Actions. With Milena Wrobel. (J. Comb. Algebra 4 (2020), no. 2, 141-166) [arXiv:1807.08780]
  8. Algebraic Hyperbolicity for Surfaces in Toric Threefolds. With Christian Haase. (J. Algebraic Geom. 30 (2021), 573-602) [arXiv:1903.02681]
  9. Deformations of Smooth Complete Toric Varieties: Obstructions and the Cup Product. With Charles Turo. (Algebra Number Theory 14 (2020), no. 4, 907-925) [arXiv:1812.09254]
  10. Singular Curves of Low Degree and Multifiltrations from Osculating Spaces. With Jarosław Buczyński and Emanuele Ventura. (IMRN 2020, no. 21, 8139-8182.) [arXiv:1905.11860]
  11. Projective duals to algebraic and tropical hypersurfaces. With Yoav Len. (P. London Math. Soc. 119(5) (2019) pp. 1234-1278) [arXiv:1803.08912]
  12. Fano Schemes for Generic Sums of Products of Linear Forms. With Hendrik Süß. (J. Algebra Appl. 19 (2020), no. 7) [arXiv:1610.06770]
  13. Fujita's Freeness Conjecture for T-Varieties of Complexity One. With Klaus Altmann. (Michigan Math. J. 69 (2020), no. 13, 4198-4232) [arXiv:1712.09927]
  14. Classifying Fano Complexity-One T-Varieties via Divisorial Polytopes. With Marni Mishna and Charlotte Trainor. (Manuscripta Mathematica 158(3) (2019) pp. 463-286) [arXiv:1710.04146]
  15. Rational Complexity-One T-Varieties are Well-Poised. With Christopher Manon. (IMRN (2019), no. 13, pp. 4198-4232) [arXiv:1704.01629]
  16. On Fano Schemes of Toric Varieties. With Alexandre Zotine. (SIAM J. on Appl. Algebra and Geom. 1(1) (2017) pp. 152-174) [arXiv:1605.05745]
  17. Vanishing Cotangent Cohomology for Plücker Algebras. With Jan Christophersen. (Comm. Algebra 45 (2017) no. 9 pp. 3929-3947). [arXiv:1409.3432]
  18. Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on G(2,n). With Charles Turo. (J. Pure Appl. Algebra 221 (2017) pp. 119-134) [arXiv:1511.01866]
  19. Fano Schemes of Lines on Toric Surfaces. (Beitr. Algebra Geom. (2016) 57:751-763) [arXiv:1411.3025]
  20. K-Stability for Fano Manifolds with Torus Action of Complexity One. With Hendrik Süß. (Duke Math. J. 166 (2017) no. 1 pp. 177-204). [arXiv:1507.04442]
  21. F-Split and F-Regular Varieties with a Diagonalizable Group Action. With Piotr Achinger and Hendrik Süß. (Journal of Algebraic Geometry 26 (2017), pp. 603-654). [arXiv:1503.03116]
  22. Product ranks of the 3 by 3 Determinant and Permanent. With Zach Teitler. (Canad. Math. Bull. 59 (2016), no. 2 pp. 311-319) [arXiv:1503.00822]
  23. Fano Schemes of Determinants and Permanents. With Melody Chan. (Algebra and Number Theory 9 (2015) no. 3 pp. 629-679). [arXiv:1312.2577]
  24. Equivariant Vector Bundles on T-Varieties. With Hendrik Süß. (Transformation Groups 20 (2015) no. 4 pp. 1043-1073). [arXiv:1305.0024]
  25. Degenerations to Unobstructed Fano Stanley-Reisner Schemes. With Jan Christophersen. (Math. Z. 278 (2014) 1-2 pp. 131-148) [arXiv:1102.4521]
  26. Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds. With Jan Christophersen. (J. reine angew. Math. 717 (2016) pp. 77-100) [arXiv:1202.0510]
  27. Families of Invariant Divisors on Rational Complexity-One T-Varieties. With Andreas Hochenegger. (J. Algebra 392 (2013), 52-68) [arXiv:0906.4292]
  28. Upgrading and Downgrading Torus Actions. With R. Vollmert. (J. Pure Appl. Algebra 217 (2013) no. 9) [arXiv:1103.4010]
  29. Exceptional Sequences on Rational C*-Surfaces. With Andreas Hochenegger. (Manuscripta Mathematica 142 (2013), 1-34) [arXiv:1106.4743]
  30. Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models. With Victor Przyjalkowski and Jacob Lewis. (J. Algebra 374 (2013), 104-121) [arXiv:1102.4664]
  31. Mutations of Laurent Polynomials and Flat Families with Toric Fibers. (SIGMA 8 (2012), 047) [arXiv:1205.04664]
  32. VersalDeformations -- a package for computing versal deformations and local Hilbert schemes. (Journal of Software for Algebra and Geometry 4 (2012), pp. 12-16) [arXiv:1107.2416]
  33. Calculating Generators of Multigraded Algebras. With Lars Kastner. (Journal of Symbolic Computation 53 (2013) pp. 22-33) [arXiv:1203.5382]
  34. The Geometry of T-Varieties. With K. Altmann, L. Petersen, H. Süß, R. Vollmert. (Contributions to Algebraic Geometry, IMPANGA Lecture Notes, EMS (2012)) [arXiv:1102.5760]
  35. Deformations of Rational T-Varieties. With Robert Vollmert. (J. Algebraic Geometry 21 (2012) pp. 473-493) [arXiv:0903.1393]
  36. ToricVectorBundles -- a package for computations with equivariant toric vector bundles in Macaulay2. With René Birkner and Lars Petersen. (Journal of Software for Algebra and Geometry 2 (2010), pp. 11-14)
  37. Polarized Complexity-One T-Varieties. With Hendrik Süß. (Michigan Mathematical Journal 60 (2011) no. 3 pp. 561-578) [arXiv:0910.5919]
  38. Deformations of Smooth Toric Surfaces. (Manuscripta Mathematica 134 (2011) pp. 123-137) [arXiv:0902.0529]
  39. AG Codes from Polyhedral Divisors. With Hendrik Süß. (Journal of Symbolic Computation 45 (2010) no. 7 pp. 734-756) [arXiv:0811.2696]
  40. One-Parameter Toric Deformations of Cyclic Quotient Singularities. (Journal of Pure and Applied Algebra 213 (2009) pp. 1086-1096) [arXiv:0801.2370]
  41. Calculating Milnor Numers and Versal Component Dimensions from P-resolution Fans. (Bolyai Soc. Math. Stud. 23 (2013) pp. 99-107 ) [arXiv:0801.2900]

Theses

  1. Deformations of Rational Varieties with Codimension-One Torus Action. Doctoral Thesis, FU Berlin, 2010. [urn:nbn:de:kobv:188-fudissthesis000000018440-0]
  2. On Toric Deformations of Cyclic Quotient Singularities. Diploma Thesis, 2007.